2004/11/16 by Toukaiddine Petit, Petit, Toukaiddine, Freddy Van Oystaeyen +1
Mathematics · #06B23 #06B25 #16W35 #16W60 #16W70 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.AG #math.RA #msc:06B23 #msc:06B25 #msc:16W35 #msc:16W60 #msc:16W70
paper · pdf · doi:10.48550/arxiv.math/0411364
17 pages
openalex publication_date 2004/11/16 · arxiv created 2005/05/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider filtered or graded algebras A over a field K. Assume that there is a discrete valuation Ov of K with mv its maximal ideal and kv:=Ov/mv its residue field. Let Λ be Ov-order such that ΛK=A and Λ:=kv⊗OvΛ the Λ-reduction of A at the place K\leadsto kv. Using the filtration of A induced by Λ we shall prove that for certain algebras A their properties are related to Λ.